TSTP Solution File: SWV157+1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWV157+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 21:49:31 EDT 2023
% Result : Theorem 0.21s 0.67s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV157+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n012.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 07:13:39 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.67 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.4Sc23Whkb2/cvc5---1.0.5_1951.p...
% 0.21/0.67 ------- get file name : TPTP file name is SWV157+1
% 0.21/0.67 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_1951.smt2...
% 0.21/0.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.67 % SZS status Theorem for SWV157+1
% 0.21/0.67 % SZS output start Proof for SWV157+1
% 0.21/0.67 (
% 0.21/0.67 (let ((_let_1 (tptp.succ tptp.n0))) (let ((_let_2 (tptp.succ _let_1))) (let ((_let_3 (tptp.succ _let_2))) (let ((_let_4 (= _let_3 tptp.n3))) (let ((_let_5 (= _let_2 tptp.n2))) (let ((_let_6 (= _let_1 tptp.n1))) (let ((_let_7 (tptp.succ _let_3))) (let ((_let_8 (= _let_7 tptp.n4))) (let ((_let_9 (forall ((X $$unsorted)) (=> (and (tptp.leq tptp.n0 X) (tptp.leq X tptp.n3)) (or (= X tptp.n0) (= X tptp.n1) (= X tptp.n2) (= X tptp.n3)))))) (let ((_let_10 (forall ((X $$unsorted)) (=> (and (tptp.leq tptp.n0 X) (tptp.leq X tptp.n2)) (or (= X tptp.n0) (= X tptp.n1) (= X tptp.n2)))))) (let ((_let_11 (forall ((X $$unsorted)) (=> (and (tptp.leq tptp.n0 X) (tptp.leq X tptp.n1)) (or (= X tptp.n0) (= X tptp.n1)))))) (let ((_let_12 (forall ((X $$unsorted)) (=> (and (tptp.leq tptp.n0 X) (tptp.leq X tptp.n0)) (= X tptp.n0))))) (let ((_let_13 (forall ((X $$unsorted)) (=> (and (tptp.leq tptp.n0 X) (tptp.leq X tptp.n4)) (or (= X tptp.n0) (= X tptp.n1) (= X tptp.n2) (= X tptp.n3) (= X tptp.n4)))))) (let ((_let_14 (tptp.gt tptp.n4 tptp.n3))) (let ((_let_15 (tptp.gt tptp.n3 tptp.n2))) (let ((_let_16 (tptp.gt tptp.n3 tptp.n1))) (let ((_let_17 (tptp.gt tptp.n2 tptp.n1))) (let ((_let_18 (tptp.gt tptp.n3 tptp.n0))) (let ((_let_19 (tptp.gt tptp.n2 tptp.n0))) (let ((_let_20 (tptp.gt tptp.n1 tptp.n0))) (let ((_let_21 (tptp.leq tptp.pv47 tptp.n4))) (let ((_let_22 (tptp.leq tptp.n0 tptp.pv47))) (let ((_let_23 (tptp.a_select2 tptp.sigma tptp.tptp_sum_index))) (let ((_let_24 (tptp.sqrt (tptp.times tptp.n2 tptp.tptp_pi)))) (let ((_let_25 (tptp.a_select2 tptp.x tptp.pv10))) (let ((_let_26 (tptp.minus _let_25 (tptp.a_select2 tptp.mu tptp.tptp_sum_index)))) (let ((_let_27 (tptp.sum tptp.n0 tptp.n4 (tptp.divide (tptp.times (tptp.exp (tptp.divide (tptp.divide (tptp.times _let_26 _let_26) tptp.tptp_minus_2) (tptp.times _let_23 _let_23))) (tptp.a_select2 tptp.rho tptp.tptp_sum_index)) (tptp.times _let_24 _let_23))))) (let ((_let_28 (not (=> (and (= tptp.pv84 _let_27) (tptp.leq tptp.n0 tptp.pv10) _let_22 (tptp.leq tptp.pv10 tptp.n135299) _let_21 (forall ((A $$unsorted)) (let ((_let_1 (tptp.a_select2 tptp.sigma tptp.tptp_sum_index))) (let ((_let_2 (tptp.sqrt (tptp.times tptp.n2 tptp.tptp_pi)))) (let ((_let_3 (tptp.a_select2 tptp.x tptp.pv10))) (let ((_let_4 (tptp.minus _let_3 (tptp.a_select2 tptp.mu tptp.tptp_sum_index)))) (let ((_let_5 (tptp.a_select2 tptp.sigma A))) (let ((_let_6 (tptp.minus _let_3 (tptp.a_select2 tptp.mu A)))) (=> (and (tptp.leq tptp.n0 A) (tptp.leq A (tptp.pred tptp.pv47))) (= (tptp.a_select3 tptp.q tptp.pv10 A) (tptp.divide (tptp.divide (tptp.times (tptp.exp (tptp.divide (tptp.divide (tptp.times _let_6 _let_6) tptp.tptp_minus_2) (tptp.times _let_5 _let_5))) (tptp.a_select2 tptp.rho A)) (tptp.times _let_2 _let_5)) (tptp.sum tptp.n0 tptp.n4 (tptp.divide (tptp.times (tptp.exp (tptp.divide (tptp.divide (tptp.times _let_4 _let_4) tptp.tptp_minus_2) (tptp.times _let_1 _let_1))) (tptp.a_select2 tptp.rho tptp.tptp_sum_index)) (tptp.times _let_2 _let_1))))))))))))) (forall ((B $$unsorted)) (=> (and (tptp.leq tptp.n0 B) (tptp.leq B (tptp.pred tptp.pv10))) (= (tptp.sum tptp.n0 tptp.n4 (tptp.a_select3 tptp.q B tptp.tptp_sum_index)) tptp.n1)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.a_select2 tptp.sigma tptp.tptp_sum_index))) (let ((_let_2 (tptp.sqrt (tptp.times tptp.n2 tptp.tptp_pi)))) (let ((_let_3 (tptp.a_select2 tptp.x tptp.pv10))) (let ((_let_4 (tptp.minus _let_3 (tptp.a_select2 tptp.mu tptp.tptp_sum_index)))) (let ((_let_5 (tptp.a_select2 tptp.sigma C))) (let ((_let_6 (tptp.minus _let_3 (tptp.a_select2 tptp.mu C)))) (=> (and (tptp.leq tptp.n0 C) (tptp.leq C tptp.pv47)) (=> (not (= tptp.pv47 C)) (= (tptp.a_select3 tptp.q tptp.pv10 C) (tptp.divide (tptp.divide (tptp.times (tptp.exp (tptp.divide (tptp.divide (tptp.times _let_6 _let_6) tptp.tptp_minus_2) (tptp.times _let_5 _let_5))) (tptp.a_select2 tptp.rho C)) (tptp.times _let_2 _let_5)) (tptp.sum tptp.n0 tptp.n4 (tptp.divide (tptp.times (tptp.exp (tptp.divide (tptp.divide (tptp.times _let_4 _let_4) tptp.tptp_minus_2) (tptp.times _let_1 _let_1))) (tptp.a_select2 tptp.rho tptp.tptp_sum_index)) (tptp.times _let_2 _let_1)))))))))))))))))) (let ((_let_29 (forall ((X $$unsorted)) (= (tptp.pred (tptp.succ X)) X)))) (let ((_let_30 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.leq X (tptp.pred Y)) (tptp.gt Y X))))) (let ((_let_31 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.gt Y X) (tptp.leq X Y))))) (let ((_let_32 (= tptp.n4 _let_7))) (let ((_let_33 (= tptp.n3 _let_3))) (let ((_let_34 (= _let_3 (tptp.pred _let_7)))) (let ((_let_35 (tptp.leq tptp.n2 tptp.n3))) (let ((_let_36 (tptp.leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.pred tptp.pv47)))) (let ((_let_37 (= tptp.n4 tptp.pv47))) (let ((_let_38 (= tptp.n2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_39 (SYMM (ASSUME :args (_let_8))))) (let ((_let_40 (SYMM (ASSUME :args (_let_4))))) (let ((_let_41 (forall ((X $$unsorted)) (= X (tptp.pred (tptp.succ X)))))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (_let_41))) (let ((_let_44 ((tptp.succ X)))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_43)) _let_42 :args (_let_34 false _let_41)))) (let ((_let_46 (not _let_15))) (let ((_let_47 (or _let_46 _let_35))) (let ((_let_48 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.gt Y X)) (tptp.leq X Y))))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_31)) (MACRO_SR_EQ_INTRO :args (_let_31 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_50 (_let_48))) (let ((_let_51 ((not (= (tptp.gt Y X) false))))) (let ((_let_52 (ASSUME :args (_let_15)))) (let ((_let_53 (tptp.a_select2 tptp.sigma SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_54 (tptp.minus _let_25 (tptp.a_select2 tptp.mu SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_55 (= (tptp.a_select3 tptp.q tptp.pv10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.divide (tptp.divide (tptp.times (tptp.exp (tptp.divide (tptp.divide (tptp.times _let_54 _let_54) tptp.tptp_minus_2) (tptp.times _let_53 _let_53))) (tptp.a_select2 tptp.rho SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (tptp.times _let_24 _let_53)) _let_27)))) (let ((_let_56 (not _let_36))) (let ((_let_57 (tptp.leq tptp.n0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_58 _let_56 _let_55))) (let ((_let_60 (forall ((A $$unsorted)) (let ((_let_1 (tptp.a_select2 tptp.sigma tptp.tptp_sum_index))) (let ((_let_2 (tptp.sqrt (tptp.times tptp.n2 tptp.tptp_pi)))) (let ((_let_3 (tptp.a_select2 tptp.x tptp.pv10))) (let ((_let_4 (tptp.minus _let_3 (tptp.a_select2 tptp.mu tptp.tptp_sum_index)))) (let ((_let_5 (tptp.a_select2 tptp.sigma A))) (let ((_let_6 (tptp.minus _let_3 (tptp.a_select2 tptp.mu A)))) (or (not (tptp.leq tptp.n0 A)) (not (tptp.leq A (tptp.pred tptp.pv47))) (= (tptp.a_select3 tptp.q tptp.pv10 A) (tptp.divide (tptp.divide (tptp.times (tptp.exp (tptp.divide (tptp.divide (tptp.times _let_6 _let_6) tptp.tptp_minus_2) (tptp.times _let_5 _let_5))) (tptp.a_select2 tptp.rho A)) (tptp.times _let_2 _let_5)) (tptp.sum tptp.n0 tptp.n4 (tptp.divide (tptp.times (tptp.exp (tptp.divide (tptp.divide (tptp.times _let_4 _let_4) tptp.tptp_minus_2) (tptp.times _let_1 _let_1))) (tptp.a_select2 tptp.rho tptp.tptp_sum_index)) (tptp.times _let_2 _let_1))))))))))))))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_62 (NOT_IMPLIES_ELIM1 _let_61))) (let ((_let_63 (_let_60))) (let ((_let_64 (= tptp.pv47 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_65 (tptp.leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.pv47))) (let ((_let_66 (not _let_65))) (let ((_let_67 (or _let_58 _let_66 _let_64 _let_55))) (let ((_let_68 (forall ((C $$unsorted)) (let ((_let_1 (tptp.a_select2 tptp.sigma tptp.tptp_sum_index))) (let ((_let_2 (tptp.sqrt (tptp.times tptp.n2 tptp.tptp_pi)))) (let ((_let_3 (tptp.a_select2 tptp.x tptp.pv10))) (let ((_let_4 (tptp.minus _let_3 (tptp.a_select2 tptp.mu tptp.tptp_sum_index)))) (let ((_let_5 (tptp.a_select2 tptp.sigma C))) (let ((_let_6 (tptp.minus _let_3 (tptp.a_select2 tptp.mu C)))) (or (not (tptp.leq tptp.n0 C)) (not (tptp.leq C tptp.pv47)) (= tptp.pv47 C) (= (tptp.a_select3 tptp.q tptp.pv10 C) (tptp.divide (tptp.divide (tptp.times (tptp.exp (tptp.divide (tptp.divide (tptp.times _let_6 _let_6) tptp.tptp_minus_2) (tptp.times _let_5 _let_5))) (tptp.a_select2 tptp.rho C)) (tptp.times _let_2 _let_5)) (tptp.sum tptp.n0 tptp.n4 (tptp.divide (tptp.times (tptp.exp (tptp.divide (tptp.divide (tptp.times _let_4 _let_4) tptp.tptp_minus_2) (tptp.times _let_1 _let_1))) (tptp.a_select2 tptp.rho tptp.tptp_sum_index)) (tptp.times _let_2 _let_1))))))))))))))) (let ((_let_69 (not _let_67))) (let ((_let_70 (or))) (let ((_let_71 (not _let_68))) (let ((_let_72 (_let_71))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_72)) :args _let_72)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_71) _let_68))) (REFL :args (_let_69)) :args _let_70)) (NOT_IMPLIES_ELIM2 _let_61) :args (_let_69 true _let_68)))) (let ((_let_74 (REFL :args (_let_67)))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_67 0)) (CONG _let_74 (MACRO_SR_PRED_INTRO :args ((= (not _let_58) _let_57))) :args _let_70)) :args ((or _let_57 _let_67))) _let_73 :args (_let_57 true _let_67)))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_58 _let_55 _let_56 (not _let_59)))) _let_75 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_67 3)) _let_73 :args ((not _let_55) true _let_67)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_63) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.leq tptp.n0 A) false))))) :args _let_63)) (AND_ELIM _let_62 :args (5)) :args (_let_59 false _let_60)) :args (_let_56 false _let_57 true _let_55 false _let_59)))) (let ((_let_77 (= tptp.n3 tptp.pv47))) (let ((_let_78 (= tptp.n2 tptp.pv47))) (let ((_let_79 (= tptp.n1 tptp.pv47))) (let ((_let_80 (= tptp.n0 tptp.pv47))) (let ((_let_81 (not _let_21))) (let ((_let_82 (not _let_22))) (let ((_let_83 (or _let_82 _let_81 _let_80 _let_79 _let_78 _let_77 _let_37))) (let ((_let_84 (forall ((X $$unsorted)) (or (not (tptp.leq tptp.n0 X)) (not (tptp.leq X tptp.n4)) (= tptp.n0 X) (= tptp.n1 X) (= tptp.n2 X) (= tptp.n3 X) (= tptp.n4 X))))) (let ((_let_85 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_86 (_let_84))) (let ((_let_87 ((not (= (tptp.leq tptp.n0 X) false))))) (let ((_let_88 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (tptp.pv47 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_87)) :args _let_86)) _let_85 :args (_let_83 false _let_84)))) (let ((_let_89 (tptp.leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.n3))) (let ((_let_90 (= tptp.n3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_91 (= tptp.n2 _let_2))) (let ((_let_92 (= _let_2 (tptp.pred _let_3)))) (let ((_let_93 (tptp.leq tptp.n1 tptp.n2))) (let ((_let_94 (= tptp.n1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_95 (= tptp.n0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_96 (not _let_89))) (let ((_let_97 (or _let_58 _let_96 _let_95 _let_94 _let_38 _let_90))) (let ((_let_98 (tptp.leq tptp.n2 (tptp.pred tptp.n3)))) (let ((_let_99 (not _let_77))) (let ((_let_100 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_67 1)) (CONG _let_74 (MACRO_SR_PRED_INTRO :args ((= (not _let_66) _let_65))) :args _let_70)) :args ((or _let_65 _let_67))) _let_73 :args (_let_65 true _let_67)))) (let ((_let_101 (REFL :args (_let_99)))) (let ((_let_102 (REFL :args (_let_66)))) (let ((_let_103 (ASSUME :args (_let_96)))) (let ((_let_104 (APPLY_UF tptp.leq))) (let ((_let_105 (ASSUME :args (_let_77)))) (let ((_let_106 (SYMM _let_105))) (let ((_let_107 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_108 (ASSUME :args (_let_65)))) (let ((_let_109 (SYMM (TRUE_INTRO _let_108)))) (let ((_let_110 (not _let_64))) (let ((_let_111 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_67 2)) _let_73 :args (_let_110 true _let_67)))) (let ((_let_112 (not _let_90))) (let ((_let_113 (REFL :args (_let_112)))) (let ((_let_114 (MACRO_SR_PRED_INTRO :args ((= (not _let_110) _let_64))))) (let ((_let_115 (and _let_110 _let_77))) (let ((_let_116 (_let_110 _let_77))) (let ((_let_117 (ASSUME :args (_let_110)))) (let ((_let_118 (FALSE_INTRO _let_117))) (let ((_let_119 (=))) (let ((_let_120 (SYMM (ASSUME :args (_let_5))))) (let ((_let_121 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_43)) _let_42 :args (_let_92 false _let_41)))) (let ((_let_122 (not _let_17))) (let ((_let_123 (or _let_122 _let_93))) (let ((_let_124 (ASSUME :args (_let_17)))) (let ((_let_125 (not _let_94))) (let ((_let_126 (not _let_92))) (let ((_let_127 (not _let_93))) (let ((_let_128 (not _let_33))) (let ((_let_129 (not _let_91))) (let ((_let_130 (REFL :args (_let_125)))) (let ((_let_131 (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_36))))) (let ((_let_132 (REFL :args (_let_126)))) (let ((_let_133 (REFL :args (_let_128)))) (let ((_let_134 (REFL :args (_let_129)))) (let ((_let_135 (ASSUME :args (_let_93)))) (let ((_let_136 (SYMM _let_120))) (let ((_let_137 (ASSUME :args (_let_92)))) (let ((_let_138 (SYMM _let_137))) (let ((_let_139 (APPLY_UF tptp.pred))) (let ((_let_140 (SYMM _let_40))) (let ((_let_141 (SYMM _let_140))) (let ((_let_142 (CONG _let_106 :args _let_139))) (let ((_let_143 (TRANS _let_142 (CONG _let_141 :args _let_139) _let_138 _let_136))) (let ((_let_144 (ASSUME :args (_let_94)))) (let ((_let_145 (SYMM _let_144))) (let ((_let_146 (ASSUME :args (_let_56)))) (let ((_let_147 (FALSE_INTRO _let_146))) (let ((_let_148 (SYMM _let_147))) (let ((_let_149 (forall ((X $$unsorted)) (or (not (tptp.leq tptp.n0 X)) (not (tptp.leq X tptp.n3)) (= tptp.n0 X) (= tptp.n1 X) (= tptp.n2 X) (= tptp.n3 X))))) (let ((_let_150 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_151 (= tptp.n1 _let_1))) (let ((_let_152 (= _let_1 (tptp.pred _let_2)))) (let ((_let_153 (tptp.leq tptp.n0 tptp.n1))) (let ((_let_154 (tptp.leq tptp.n0 tptp.n3))) (let ((_let_155 (= tptp.n0 (tptp.pred _let_1)))) (let ((_let_156 (tptp.leq tptp.n0 (tptp.pred tptp.n1)))) (let ((_let_157 (tptp.leq tptp.n0 tptp.n2))) (let ((_let_158 (not _let_95))) (let ((_let_159 (SYMM (ASSUME :args (_let_6))))) (let ((_let_160 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_43)) _let_42 :args (_let_152 false _let_41)))) (let ((_let_161 (not _let_20))) (let ((_let_162 (or _let_161 _let_153))) (let ((_let_163 (ASSUME :args (_let_20)))) (let ((_let_164 (not _let_78))) (let ((_let_165 (not _let_152))) (let ((_let_166 (not _let_153))) (let ((_let_167 (not _let_151))) (let ((_let_168 (REFL :args (_let_164)))) (let ((_let_169 (REFL :args (_let_165)))) (let ((_let_170 (REFL :args (_let_158)))) (let ((_let_171 (REFL :args (_let_167)))) (let ((_let_172 (ASSUME :args (_let_153)))) (let ((_let_173 (SYMM _let_159))) (let ((_let_174 (ASSUME :args (_let_152)))) (let ((_let_175 (SYMM _let_174))) (let ((_let_176 (ASSUME :args (_let_78)))) (let ((_let_177 (SYMM _let_176))) (let ((_let_178 (CONG _let_177 :args _let_139))) (let ((_let_179 (ASSUME :args (_let_95)))) (let ((_let_180 (SYMM _let_179))) (let ((_let_181 (not _let_18))) (let ((_let_182 (or _let_181 _let_154))) (let ((_let_183 (not _let_34))) (let ((_let_184 (not _let_37))) (let ((_let_185 (not _let_154))) (let ((_let_186 (not _let_32))) (let ((_let_187 (REFL :args (_let_183)))) (let ((_let_188 (REFL :args (_let_184)))) (let ((_let_189 (REFL :args (_let_186)))) (let ((_let_190 (ASSUME :args (_let_154)))) (let ((_let_191 (ASSUME :args (_let_34)))) (let ((_let_192 (SYMM _let_191))) (let ((_let_193 (SYMM _let_39))) (let ((_let_194 (ASSUME :args (_let_37)))) (let ((_let_195 (SYMM _let_194))) (let ((_let_196 (TRANS (CONG _let_195 :args _let_139) (CONG (SYMM _let_193) :args _let_139) _let_192 _let_140))) (let ((_let_197 (= _let_20 _let_156))) (let ((_let_198 (_let_30))) (let ((_let_199 (ASSUME :args _let_198))) (let ((_let_200 ((tptp.gt Y X)))) (let ((_let_201 (not _let_79))) (let ((_let_202 (not _let_155))) (let ((_let_203 (not _let_156))) (let ((_let_204 (REFL :args (_let_201)))) (let ((_let_205 (ASSUME :args (_let_156)))) (let ((_let_206 (CONG _let_173 :args _let_139))) (let ((_let_207 (ASSUME :args (_let_155)))) (let ((_let_208 (SYMM _let_207))) (let ((_let_209 (ASSUME :args (_let_79)))) (let ((_let_210 (SYMM _let_209))) (let ((_let_211 (AND_ELIM _let_62 :args (2)))) (let ((_let_212 (AND_ELIM _let_62 :args (4)))) (let ((_let_213 (tptp.leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.n0))) (let ((_let_214 (not _let_213))) (let ((_let_215 (or _let_58 _let_214 _let_95))) (let ((_let_216 (not _let_80))) (let ((_let_217 (REFL :args (_let_216)))) (let ((_let_218 (ASSUME :args (_let_214)))) (let ((_let_219 (ASSUME :args (_let_80)))) (let ((_let_220 (SYMM _let_219))) (let ((_let_221 (forall ((X $$unsorted)) (or (not (tptp.leq tptp.n0 X)) (not (tptp.leq X tptp.n0)) (= tptp.n0 X))))) (let ((_let_222 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_223 (and _let_110 _let_80))) (let ((_let_224 (_let_110 _let_80))) (let ((_let_225 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_223)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_117 _let_219) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_220) _let_107 :args _let_119) _let_118)) :args _let_224)) :args _let_224)) :args (true _let_223)) (CONG _let_114 _let_217 _let_170 :args _let_70)) _let_111 (REORDERING (CNF_OR_POS :args (_let_215)) :args ((or _let_58 _let_95 _let_214 (not _let_215)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_222 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.leq tptp.n0 X) false))))) :args (_let_221))) _let_222 :args (_let_215 false _let_221)) _let_75 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_218 _let_219 _let_108) :args (_let_65 _let_80 _let_214)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_109 (CONG _let_107 _let_220 :args _let_104) (FALSE_INTRO _let_218))) :args (_let_214 _let_80 _let_65)) :args ((not (and _let_65 _let_80 _let_214)) SB_LITERAL))) (CONG _let_102 _let_217 (MACRO_SR_PRED_INTRO :args ((= (not _let_214) _let_213))) :args _let_70)) :args ((or _let_66 _let_213 _let_216))) _let_100 :args (_let_216 true _let_64 false _let_95 false _let_215 false _let_57 false _let_213 false _let_65)))) (let ((_let_226 (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_82 _let_81 _let_80 _let_37 _let_79 _let_78 _let_77 (not _let_83)))))) (let ((_let_227 (not _let_19))) (let ((_let_228 (or _let_227 _let_157))) (let ((_let_229 (not _let_157))) (let ((_let_230 (ASSUME :args (_let_157)))) (let ((_let_231 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_230 _let_179 _let_120 _let_137 _let_40 _let_105 _let_146) :args (_let_91 _let_33 _let_157 _let_95 _let_92 _let_56 _let_77)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_148 (CONG _let_180 _let_143 :args _let_104) (TRUE_INTRO _let_230))) :args (_let_157 _let_95 _let_91 _let_92 _let_33 _let_77 _let_56)) :args ((not (and _let_91 _let_33 _let_157 _let_95 _let_92 _let_56 _let_77)) SB_LITERAL))) (CONG _let_134 _let_133 (REFL :args (_let_229)) _let_170 _let_132 _let_131 _let_101 :args _let_70)) :args ((or _let_129 _let_128 _let_36 _let_229 _let_158 _let_126 _let_99))) _let_76 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_228)) :args ((or _let_227 _let_157 (not _let_228)))) (ASSUME :args (_let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.n0 tptp.n2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_51)) :args _let_50)) _let_49 :args (_let_228 false _let_48)) :args (_let_157 false _let_19 false _let_228)) _let_121 _let_40 _let_120 _let_226 _let_225 _let_88 _let_212 _let_211 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_205 _let_159 _let_207 _let_179 _let_209 _let_146) :args (_let_151 _let_95 _let_156 _let_155 _let_56 _let_79)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_148 (CONG _let_180 (TRANS (CONG _let_210 :args _let_139) (SYMM _let_206) _let_208) :args _let_104) (CONG (REFL :args (tptp.n0)) (TRANS (SYMM _let_208) _let_206) :args _let_104) (TRUE_INTRO _let_205))) :args (_let_156 _let_151 _let_155 _let_95 _let_79 _let_56)) :args ((not (and _let_151 _let_95 _let_156 _let_155 _let_56 _let_79)) SB_LITERAL))) (CONG _let_171 _let_170 (REFL :args (_let_203)) (REFL :args (_let_202)) _let_131 _let_204 :args _let_70)) :args ((or _let_167 _let_36 _let_158 _let_203 _let_202 _let_201))) _let_76 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_197)) :args ((or _let_161 _let_156 (not _let_197)))) _let_163 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_199 :args (tptp.n0 tptp.n1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_200)) :args _let_198))) _let_199 :args (_let_197 false _let_30)) :args (_let_156 false _let_20 false _let_197)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.n0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_43)) _let_42 :args (_let_155 false _let_41)) _let_159 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_190 _let_179 _let_40 _let_191 _let_39 _let_194 _let_146) :args (_let_32 _let_33 _let_154 _let_95 _let_37 _let_34 _let_56)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_148 (CONG _let_180 _let_196 :args _let_104) (TRUE_INTRO _let_190))) :args (_let_154 _let_95 _let_33 _let_34 _let_32 _let_37 _let_56)) :args ((not (and _let_32 _let_33 _let_154 _let_95 _let_37 _let_34 _let_56)) SB_LITERAL))) (CONG _let_189 _let_133 (REFL :args (_let_185)) _let_170 _let_188 _let_187 _let_131 :args _let_70)) :args ((or _let_186 _let_128 _let_36 _let_185 _let_158 _let_184 _let_183))) _let_76 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_182)) :args ((or _let_181 _let_154 (not _let_182)))) (ASSUME :args (_let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.n0 tptp.n3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_51)) :args _let_50)) _let_49 :args (_let_182 false _let_48)) :args (_let_154 false _let_18 false _let_182)) _let_45 _let_40 _let_39 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_172 _let_179 _let_159 _let_174 _let_120 _let_176 _let_146) :args (_let_151 _let_91 _let_153 _let_95 _let_152 _let_56 _let_78)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_148 (CONG _let_180 (TRANS _let_178 (CONG (SYMM _let_136) :args _let_139) _let_175 _let_173) :args _let_104) (TRUE_INTRO _let_172))) :args (_let_153 _let_95 _let_151 _let_152 _let_91 _let_78 _let_56)) :args ((not (and _let_151 _let_91 _let_153 _let_95 _let_152 _let_56 _let_78)) SB_LITERAL))) (CONG _let_171 _let_134 (REFL :args (_let_166)) _let_170 _let_169 _let_131 _let_168 :args _let_70)) :args ((or _let_167 _let_129 _let_36 _let_166 _let_158 _let_165 _let_164))) _let_76 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_162)) :args ((or _let_161 _let_153 (not _let_162)))) _let_163 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.n0 tptp.n1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_51)) :args _let_50)) _let_49 :args (_let_162 false _let_48)) :args (_let_153 false _let_20 false _let_162)) _let_160 _let_120 _let_159 :args (_let_158 true _let_36 false _let_157 false _let_92 false _let_33 false _let_91 false _let_77 true _let_80 false _let_83 false _let_21 false _let_22 true _let_79 true _let_36 false _let_156 false _let_155 false _let_151 true _let_37 true _let_36 false _let_154 false _let_34 false _let_33 false _let_32 true _let_78 true _let_36 false _let_153 false _let_152 false _let_91 false _let_151)))) (let ((_let_232 (= _let_15 _let_98))) (let ((_let_233 (not _let_38))) (let ((_let_234 (not _let_98))) (let ((_let_235 (REFL :args (_let_233)))) (let ((_let_236 (ASSUME :args (_let_98)))) (let ((_let_237 (CONG _let_140 :args _let_139))) (let ((_let_238 (ASSUME :args (_let_38)))) (let ((_let_239 (SYMM _let_238))) (let ((_let_240 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_236 _let_40 _let_137 _let_238 _let_105 _let_146) :args (_let_33 _let_98 _let_92 _let_56 _let_77 _let_38)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_148 (CONG _let_239 (TRANS _let_142 (SYMM _let_237) _let_138) :args _let_104) (CONG (REFL :args (tptp.n2)) (TRANS (SYMM _let_138) _let_237) :args _let_104) (TRUE_INTRO _let_236))) :args (_let_98 _let_33 _let_92 _let_38 _let_77 _let_56)) :args ((not (and _let_33 _let_98 _let_92 _let_56 _let_77 _let_38)) SB_LITERAL))) (CONG _let_133 (REFL :args (_let_234)) _let_132 _let_131 _let_101 _let_235 :args _let_70)) :args ((or _let_128 _let_36 _let_234 _let_126 _let_99 _let_233))) _let_76 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_232)) :args ((or _let_46 _let_98 (not _let_232)))) _let_52 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_199 :args (tptp.n2 tptp.n3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_200)) :args _let_198))) _let_199 :args (_let_232 false _let_30)) :args (_let_98 false _let_15 false _let_232)) _let_121 _let_40 (REORDERING (CNF_OR_POS :args (_let_97)) :args ((or _let_58 _let_95 _let_94 _let_38 _let_90 _let_96 (not _let_97)))) _let_231 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_150 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.leq tptp.n0 X) false))))) :args (_let_149))) _let_150 :args (_let_97 false _let_149)) _let_75 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_135 _let_144 _let_120 _let_137 _let_40 _let_105 _let_146) :args (_let_91 _let_33 _let_93 _let_92 _let_56 _let_77 _let_94)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_148 (CONG _let_145 _let_143 :args _let_104) (TRUE_INTRO _let_135))) :args (_let_93 _let_94 _let_91 _let_92 _let_33 _let_77 _let_56)) :args ((not (and _let_91 _let_33 _let_93 _let_92 _let_56 _let_77 _let_94)) SB_LITERAL))) (CONG _let_134 _let_133 (REFL :args (_let_127)) _let_132 _let_131 _let_101 _let_130 :args _let_70)) :args ((or _let_129 _let_128 _let_36 _let_127 _let_126 _let_99 _let_125))) _let_76 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_123)) :args ((or _let_122 _let_93 (not _let_123)))) _let_124 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.n1 tptp.n2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_51)) :args _let_50)) _let_49 :args (_let_123 false _let_48)) :args (_let_93 false _let_17 false _let_123)) _let_121 _let_40 _let_120 (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_115)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_117 _let_105) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_106) _let_107 :args _let_119) _let_118)) :args _let_116)) :args _let_116)) :args (true _let_115)) (CONG _let_114 _let_101 _let_113 :args _let_70)) _let_111 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_103 _let_105 _let_108) :args (_let_65 _let_77 _let_96)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_109 (CONG _let_107 _let_106 :args _let_104) (FALSE_INTRO _let_103))) :args (_let_96 _let_77 _let_65)) :args ((not (and _let_65 _let_77 _let_96)) SB_LITERAL))) (CONG _let_102 _let_101 (MACRO_SR_PRED_INTRO :args ((= (not _let_96) _let_89))) :args _let_70)) :args ((or _let_66 _let_89 _let_99))) _let_100 :args (_let_99 true _let_36 false _let_98 false _let_92 false _let_33 false _let_38 true _let_95 false _let_97 false _let_57 true _let_94 true _let_36 false _let_93 false _let_92 false _let_33 false _let_91 true _let_90 true _let_64 false _let_89 false _let_65)))) (let ((_let_241 (tptp.leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.n2))) (let ((_let_242 (not _let_241))) (let ((_let_243 (or _let_58 _let_242 _let_95 _let_94 _let_38))) (let ((_let_244 (tptp.leq tptp.n1 (tptp.pred tptp.n2)))) (let ((_let_245 (ASSUME :args (_let_242)))) (let ((_let_246 (and _let_110 _let_78))) (let ((_let_247 (_let_110 _let_78))) (let ((_let_248 (forall ((X $$unsorted)) (or (not (tptp.leq tptp.n0 X)) (not (tptp.leq X tptp.n2)) (= tptp.n0 X) (= tptp.n1 X) (= tptp.n2 X))))) (let ((_let_249 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_250 (= _let_17 _let_244))) (let ((_let_251 (not _let_244))) (let ((_let_252 (ASSUME :args (_let_244)))) (let ((_let_253 (CONG _let_136 :args _let_139))) (let ((_let_254 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_252 _let_120 _let_174 _let_144 _let_176 _let_146) :args (_let_91 _let_244 _let_152 _let_56 _let_78 _let_94)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_148 (CONG _let_145 (TRANS _let_178 (SYMM _let_253) _let_175) :args _let_104) (CONG (REFL :args (tptp.n1)) (TRANS (SYMM _let_175) _let_253) :args _let_104) (TRUE_INTRO _let_252))) :args (_let_244 _let_91 _let_152 _let_94 _let_78 _let_56)) :args ((not (and _let_91 _let_244 _let_152 _let_56 _let_78 _let_94)) SB_LITERAL))) (CONG _let_134 (REFL :args (_let_251)) _let_169 _let_131 _let_168 _let_130 :args _let_70)) :args ((or _let_129 _let_36 _let_251 _let_165 _let_164 _let_125))) _let_76 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_250)) :args ((or _let_122 _let_244 (not _let_250)))) _let_124 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_199 :args (tptp.n1 tptp.n2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_200)) :args _let_198))) _let_199 :args (_let_250 false _let_30)) :args (_let_244 false _let_17 false _let_250)) _let_160 _let_120 (REORDERING (CNF_OR_POS :args (_let_243)) :args ((or _let_58 _let_95 _let_94 _let_38 _let_242 (not _let_243)))) _let_231 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_249 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.leq tptp.n0 X) false))))) :args (_let_248))) _let_249 :args (_let_243 false _let_248)) _let_75 (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_246)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_117 _let_176) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_177) _let_107 :args _let_119) _let_118)) :args _let_247)) :args _let_247)) :args (true _let_246)) (CONG _let_114 _let_168 _let_235 :args _let_70)) _let_111 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_245 _let_176 _let_108) :args (_let_65 _let_78 _let_242)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_109 (CONG _let_107 _let_177 :args _let_104) (FALSE_INTRO _let_245))) :args (_let_242 _let_78 _let_65)) :args ((not (and _let_65 _let_78 _let_242)) SB_LITERAL))) (CONG _let_102 _let_168 (MACRO_SR_PRED_INTRO :args ((= (not _let_242) _let_241))) :args _let_70)) :args ((or _let_66 _let_241 _let_164))) _let_100 :args (_let_164 true _let_36 false _let_244 false _let_152 false _let_91 false _let_94 true _let_95 false _let_243 false _let_57 true _let_38 true _let_64 false _let_241 false _let_65)))) (let ((_let_255 (tptp.leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.n1))) (let ((_let_256 (not _let_255))) (let ((_let_257 (or _let_58 _let_256 _let_95 _let_94))) (let ((_let_258 (forall ((X $$unsorted)) (or (not (tptp.leq tptp.n0 X)) (not (tptp.leq X tptp.n1)) (= tptp.n0 X) (= tptp.n1 X))))) (let ((_let_259 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_260 (tptp.leq tptp.n1 tptp.n3))) (let ((_let_261 (not _let_16))) (let ((_let_262 (or _let_261 _let_260))) (let ((_let_263 (not _let_260))) (let ((_let_264 (ASSUME :args (_let_260)))) (let ((_let_265 (SYMM _let_173))) (let ((_let_266 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_159 _let_209 _let_144 _let_117) :args (_let_151 _let_110 _let_79 _let_94)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM _let_118) (TRUE_INTRO (TRANS _let_210 _let_265 (SYMM (TRANS _let_145 _let_265)))))) :args (_let_151 _let_79 _let_94 _let_110)) :args ((not (and _let_151 _let_110 _let_79 _let_94)) SB_LITERAL))) (CONG _let_171 _let_114 _let_204 _let_130 :args _let_70)) _let_111 _let_159 _let_226 _let_225 _let_240 _let_254 _let_88 _let_212 _let_211 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_264 _let_144 _let_40 _let_191 _let_39 _let_194 _let_146) :args (_let_32 _let_33 _let_260 _let_37 _let_34 _let_56 _let_94)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_148 (CONG _let_145 _let_196 :args _let_104) (TRUE_INTRO _let_264))) :args (_let_260 _let_94 _let_33 _let_34 _let_32 _let_37 _let_56)) :args ((not (and _let_32 _let_33 _let_260 _let_37 _let_34 _let_56 _let_94)) SB_LITERAL))) (CONG _let_189 _let_133 (REFL :args (_let_263)) _let_188 _let_187 _let_131 _let_130 :args _let_70)) :args ((or _let_186 _let_128 _let_36 _let_263 _let_184 _let_183 _let_125))) _let_76 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_262)) :args ((or _let_261 _let_260 (not _let_262)))) (ASSUME :args (_let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.n1 tptp.n3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_51)) :args _let_50)) _let_49 :args (_let_262 false _let_48)) :args (_let_260 false _let_16 false _let_262)) _let_45 _let_40 _let_39 :args (_let_125 true _let_64 false _let_151 false _let_79 true _let_80 true _let_77 true _let_78 false _let_83 false _let_21 false _let_22 true _let_37 true _let_36 false _let_260 false _let_34 false _let_33 false _let_32)))) (let ((_let_267 (ASSUME :args (_let_256)))) (let ((_let_268 (MACRO_RESOLUTION_TRUST _let_226 _let_211 _let_212 _let_225 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_267 _let_209 _let_108) :args (_let_65 _let_79 _let_256)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_109 (CONG _let_107 _let_210 :args _let_104) (FALSE_INTRO _let_267))) :args (_let_256 _let_79 _let_65)) :args ((not (and _let_65 _let_79 _let_256)) SB_LITERAL))) (CONG _let_102 _let_204 (MACRO_SR_PRED_INTRO :args ((= (not _let_256) _let_255))) :args _let_70)) :args ((or _let_66 _let_255 _let_201))) _let_100 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_257)) :args ((or _let_58 _let_95 _let_94 _let_256 (not _let_257)))) _let_75 _let_231 _let_266 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_259 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.leq tptp.n0 X) false))))) :args (_let_258))) _let_259 :args (_let_257 false _let_258)) :args (_let_256 false _let_57 true _let_95 true _let_94 false _let_257)) :args (_let_201 false _let_65 true _let_255)) _let_254 _let_240 _let_88 :args (_let_37 false _let_22 false _let_21 true _let_80 true _let_79 true _let_78 true _let_77 false _let_83)))) (let ((_let_269 (= tptp.n4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_270 (tptp.leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.n4))) (let ((_let_271 (not _let_270))) (let ((_let_272 (or _let_58 _let_271 _let_95 _let_94 _let_38 _let_90 _let_269))) (let ((_let_273 (not _let_269))) (let ((_let_274 (and _let_110 _let_37))) (let ((_let_275 (_let_110 _let_37))) (let ((_let_276 (SYMM _let_195))) (let ((_let_277 (tptp.leq tptp.n3 (tptp.pred tptp.n4)))) (let ((_let_278 (= _let_14 _let_277))) (let ((_let_279 (not _let_277))) (let ((_let_280 (CONG _let_193 :args _let_139))) (let ((_let_281 (ASSUME :args (_let_90)))) (let ((_let_282 (ASSUME :args (_let_277)))) (let ((_let_283 (ASSUME :args (_let_271)))) (let ((_let_284 (not _let_35))) (let ((_let_285 (ASSUME :args (_let_35)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_285 _let_238 _let_40 _let_191 _let_39 _let_194 _let_146) :args (_let_32 _let_33 _let_35 _let_37 _let_34 _let_56 _let_38)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_148 (CONG _let_239 _let_196 :args _let_104) (TRUE_INTRO _let_285))) :args (_let_35 _let_38 _let_33 _let_34 _let_32 _let_37 _let_56)) :args ((not (and _let_32 _let_33 _let_35 _let_37 _let_34 _let_56 _let_38)) SB_LITERAL))) (CONG _let_189 _let_133 (REFL :args (_let_284)) _let_188 _let_187 _let_131 _let_235 :args _let_70)) :args ((or _let_186 _let_128 _let_36 _let_284 _let_184 _let_183 _let_233))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_272)) :args ((or _let_58 _let_95 _let_271 _let_94 _let_38 _let_90 _let_269 (not _let_272)))) _let_75 _let_231 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_283 _let_194 _let_108) :args (_let_65 _let_37 _let_271)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_109 (CONG _let_107 _let_195 :args _let_104) (FALSE_INTRO _let_283))) :args (_let_271 _let_37 _let_65)) :args ((not (and _let_65 _let_37 _let_271)) SB_LITERAL))) (CONG _let_102 _let_188 (MACRO_SR_PRED_INTRO :args ((= (not _let_271) _let_270))) :args _let_70)) :args ((or _let_66 _let_270 _let_184))) _let_100 _let_268 :args (_let_270 false _let_65 false _let_37)) _let_266 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_146 _let_194 _let_39 _let_191 _let_40 _let_281 _let_282) :args (_let_32 _let_33 _let_37 _let_277 _let_34 _let_56 _let_90)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_282)) (CONG (REFL :args (tptp.n3)) (TRANS (SYMM _let_280) _let_192) :args _let_104) (CONG (SYMM (SYMM _let_281)) _let_140 :args _let_104) (CONG _let_107 (TRANS _let_141 (SYMM _let_192) _let_280 (CONG _let_276 :args _let_139)) :args _let_104) _let_147)) :args (_let_56 _let_37 _let_32 _let_34 _let_33 _let_90 _let_277)) :args ((not (and _let_32 _let_33 _let_37 _let_277 _let_34 _let_56 _let_90)) SB_LITERAL))) (CONG _let_189 _let_133 _let_188 (REFL :args (_let_279)) _let_187 _let_131 _let_113 :args _let_70)) :args ((or _let_186 _let_128 _let_36 _let_184 _let_279 _let_183 _let_112))) _let_39 _let_40 _let_76 _let_268 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_278)) :args ((or (not _let_14) _let_277 (not _let_278)))) (ASSUME :args (_let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_199 :args (tptp.n3 tptp.n4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_200)) :args _let_198))) _let_199 :args (_let_278 false _let_30)) :args (_let_277 false _let_14 false _let_278)) _let_45 :args (_let_112 false _let_32 false _let_33 true _let_36 false _let_37 false _let_277 false _let_34)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_274)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_117 _let_194) (SCOPE (FALSE_ELIM (TRANS (CONG _let_276 _let_107 :args _let_119) _let_118)) :args _let_275)) :args _let_275)) :args (true _let_274)) (CONG _let_114 _let_188 (REFL :args (_let_273)) :args _let_70)) _let_111 _let_268 :args (_let_273 true _let_64 false _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_87)) :args _let_86)) _let_85 :args (_let_272 false _let_84)) :args (_let_38 false _let_57 true _let_95 false _let_270 true _let_94 true _let_90 true _let_269 false _let_272)) _let_268 _let_76 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_46 _let_35 (not _let_47)))) _let_52 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.n2 tptp.n3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_51)) :args _let_50)) _let_49 :args (_let_47 false _let_48)) :args (_let_35 false _let_15 false _let_47)) _let_45 _let_40 _let_39 :args (false false _let_38 false _let_37 true _let_36 false _let_35 false _let_34 false _let_33 false _let_32)) :args ((forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.gt X Y) (tptp.gt Y X) (= X Y))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.gt X Y) (tptp.gt Y Z)) (tptp.gt X Z))) (forall ((X $$unsorted)) (not (tptp.gt X X))) (forall ((X $$unsorted)) (tptp.leq X X)) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.leq X Y) (tptp.leq Y Z)) (tptp.leq X Z))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.lt X Y) (tptp.gt Y X))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.geq X Y) (tptp.leq Y X))) _let_31 (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.leq X Y) (not (= X Y))) (tptp.gt Y X))) _let_30 (forall ((X $$unsorted)) (tptp.gt (tptp.succ X) X)) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.leq X Y) (tptp.leq X (tptp.succ Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.leq X Y) (tptp.gt (tptp.succ Y) X))) (forall ((X $$unsorted) (C $$unsorted)) (=> (tptp.leq tptp.n0 X) (tptp.leq (tptp.uniform_int_rnd C X) X))) (forall ((X $$unsorted) (C $$unsorted)) (=> (tptp.leq tptp.n0 X) (tptp.leq tptp.n0 (tptp.uniform_int_rnd C X)))) (forall ((I $$unsorted) (L $$unsorted) (U $$unsorted) (Val $$unsorted)) (=> (and (tptp.leq L I) (tptp.leq I U)) (= (tptp.a_select2 (tptp.tptp_const_array1 (tptp.dim L U) Val) I) Val))) (forall ((I $$unsorted) (L1 $$unsorted) (U1 $$unsorted) (J $$unsorted) (L2 $$unsorted) (U2 $$unsorted) (Val $$unsorted)) (=> (and (tptp.leq L1 I) (tptp.leq I U1) (tptp.leq L2 J) (tptp.leq J U2)) (= (tptp.a_select3 (tptp.tptp_const_array2 (tptp.dim L1 U1) (tptp.dim L2 U2) Val) I J) Val))) (forall ((A $$unsorted) (N $$unsorted)) (=> (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 A I J) (tptp.a_select3 A J I)))) (forall ((I $$unsorted) (J $$unsorted)) (let ((_let_1 (tptp.trans A))) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 _let_1 I J) (tptp.a_select3 _let_1 J I))))))) (forall ((A $$unsorted) (N $$unsorted)) (=> (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 A I J) (tptp.a_select3 A J I)))) (forall ((I $$unsorted) (J $$unsorted)) (let ((_let_1 (tptp.inv A))) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 _let_1 I J) (tptp.a_select3 _let_1 J I))))))) (forall ((A $$unsorted) (N $$unsorted)) (=> (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 A I J) (tptp.a_select3 A J I)))) (forall ((I $$unsorted) (J $$unsorted) (K $$unsorted) (VAL $$unsorted)) (let ((_let_1 (tptp.tptp_update3 A K K VAL))) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N) (tptp.leq tptp.n0 K) (tptp.leq K N)) (= (tptp.a_select3 _let_1 I J) (tptp.a_select3 _let_1 J I))))))) (forall ((A $$unsorted) (B $$unsorted) (N $$unsorted)) (=> (and (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 A I J) (tptp.a_select3 A J I)))) (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 B I J) (tptp.a_select3 B J I))))) (forall ((I $$unsorted) (J $$unsorted)) (let ((_let_1 (tptp.tptp_madd A B))) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 _let_1 I J) (tptp.a_select3 _let_1 J I))))))) (forall ((A $$unsorted) (B $$unsorted) (N $$unsorted)) (=> (and (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 A I J) (tptp.a_select3 A J I)))) (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 B I J) (tptp.a_select3 B J I))))) (forall ((I $$unsorted) (J $$unsorted)) (let ((_let_1 (tptp.tptp_msub A B))) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 _let_1 I J) (tptp.a_select3 _let_1 J I))))))) (forall ((A $$unsorted) (B $$unsorted) (N $$unsorted)) (=> (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 B I J) (tptp.a_select3 B J I)))) (forall ((I $$unsorted) (J $$unsorted)) (let ((_let_1 (tptp.tptp_mmul A (tptp.tptp_mmul B (tptp.trans A))))) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 _let_1 I J) (tptp.a_select3 _let_1 J I))))))) (forall ((A $$unsorted) (B $$unsorted) (N $$unsorted) (M $$unsorted)) (=> (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I M) (tptp.leq tptp.n0 J) (tptp.leq J M)) (= (tptp.a_select3 B I J) (tptp.a_select3 B J I)))) (forall ((I $$unsorted) (J $$unsorted)) (let ((_let_1 (tptp.tptp_mmul A (tptp.tptp_mmul B (tptp.trans A))))) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 _let_1 I J) (tptp.a_select3 _let_1 J I))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (N $$unsorted) (M $$unsorted)) (=> (and (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I M) (tptp.leq tptp.n0 J) (tptp.leq J M)) (= (tptp.a_select3 D I J) (tptp.a_select3 D J I)))) (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 A I J) (tptp.a_select3 A J I)))) (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 F I J) (tptp.a_select3 F J I))))) (forall ((I $$unsorted) (J $$unsorted)) (let ((_let_1 (tptp.tptp_madd A (tptp.tptp_mmul B (tptp.tptp_mmul (tptp.tptp_madd (tptp.tptp_mmul C (tptp.tptp_mmul D (tptp.trans C))) (tptp.tptp_mmul E (tptp.tptp_mmul F (tptp.trans E)))) (tptp.trans B)))))) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 _let_1 I J) (tptp.a_select3 _let_1 J I))))))) (forall ((Body $$unsorted)) (= (tptp.sum tptp.n0 tptp.tptp_minus_1 Body) tptp.n0)) (forall ((Body $$unsorted)) (= tptp.tptp_float_0_0 (tptp.sum tptp.n0 tptp.tptp_minus_1 Body))) (= (tptp.succ tptp.tptp_minus_1) tptp.n0) (forall ((X $$unsorted)) (= (tptp.plus X tptp.n1) (tptp.succ X))) (forall ((X $$unsorted)) (= (tptp.plus tptp.n1 X) (tptp.succ X))) (forall ((X $$unsorted)) (= (tptp.plus X tptp.n2) (tptp.succ (tptp.succ X)))) (forall ((X $$unsorted)) (= (tptp.plus tptp.n2 X) (tptp.succ (tptp.succ X)))) (forall ((X $$unsorted)) (= (tptp.plus X tptp.n3) (tptp.succ (tptp.succ (tptp.succ X))))) (forall ((X $$unsorted)) (= (tptp.plus tptp.n3 X) (tptp.succ (tptp.succ (tptp.succ X))))) (forall ((X $$unsorted)) (= (tptp.plus X tptp.n4) (tptp.succ (tptp.succ (tptp.succ (tptp.succ X)))))) (forall ((X $$unsorted)) (= (tptp.plus tptp.n4 X) (tptp.succ (tptp.succ (tptp.succ (tptp.succ X)))))) (forall ((X $$unsorted)) (= (tptp.plus X tptp.n5) (tptp.succ (tptp.succ (tptp.succ (tptp.succ (tptp.succ X))))))) (forall ((X $$unsorted)) (= (tptp.plus tptp.n5 X) (tptp.succ (tptp.succ (tptp.succ (tptp.succ (tptp.succ X))))))) (forall ((X $$unsorted)) (= (tptp.minus X tptp.n1) (tptp.pred X))) _let_29 (forall ((X $$unsorted)) (= (tptp.succ (tptp.pred X)) X)) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.leq (tptp.succ X) (tptp.succ Y)) (tptp.leq X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.leq (tptp.succ X) Y) (tptp.gt Y X))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.leq (tptp.minus X Y) X) (tptp.leq tptp.n0 Y))) (forall ((X $$unsorted) (U $$unsorted) (V $$unsorted) (VAL $$unsorted)) (= (tptp.a_select3 (tptp.tptp_update3 X U V VAL) U V) VAL)) (forall ((I $$unsorted) (J $$unsorted) (U $$unsorted) (V $$unsorted) (X $$unsorted) (VAL $$unsorted) (VAL2 $$unsorted)) (=> (and (not (= I U)) (= J V) (= (tptp.a_select3 X U V) VAL)) (= (tptp.a_select3 (tptp.tptp_update3 X I J VAL2) U V) VAL))) (forall ((I $$unsorted) (J $$unsorted) (U $$unsorted) (V $$unsorted) (X $$unsorted) (VAL $$unsorted)) (=> (and (forall ((I0 $$unsorted) (J0 $$unsorted)) (=> (and (tptp.leq tptp.n0 I0) (tptp.leq tptp.n0 J0) (tptp.leq I0 U) (tptp.leq J0 V)) (= (tptp.a_select3 X I0 J0) VAL))) (tptp.leq tptp.n0 I) (tptp.leq I U) (tptp.leq tptp.n0 J) (tptp.leq J V)) (= (tptp.a_select3 (tptp.tptp_update3 X U V VAL) I J) VAL))) (forall ((X $$unsorted) (U $$unsorted) (VAL $$unsorted)) (= (tptp.a_select2 (tptp.tptp_update2 X U VAL) U) VAL)) (forall ((I $$unsorted) (U $$unsorted) (X $$unsorted) (VAL $$unsorted) (VAL2 $$unsorted)) (=> (and (not (= I U)) (= (tptp.a_select2 X U) VAL)) (= (tptp.a_select2 (tptp.tptp_update2 X I VAL2) U) VAL))) (forall ((I $$unsorted) (U $$unsorted) (X $$unsorted) (VAL $$unsorted)) (=> (and (forall ((I0 $$unsorted)) (=> (and (tptp.leq tptp.n0 I0) (tptp.leq I0 U)) (= (tptp.a_select2 X I0) VAL))) (tptp.leq tptp.n0 I) (tptp.leq I U)) (= (tptp.a_select2 (tptp.tptp_update2 X U VAL) I) VAL))) tptp.true (not (= tptp.def tptp.use)) _let_28 (tptp.gt tptp.n5 tptp.n4) (tptp.gt tptp.n135299 tptp.n4) (tptp.gt tptp.n135299 tptp.n5) (tptp.gt tptp.n4 tptp.tptp_minus_1) (tptp.gt tptp.n5 tptp.tptp_minus_1) (tptp.gt tptp.n135299 tptp.tptp_minus_1) (tptp.gt tptp.n0 tptp.tptp_minus_1) (tptp.gt tptp.n1 tptp.tptp_minus_1) (tptp.gt tptp.n2 tptp.tptp_minus_1) (tptp.gt tptp.n3 tptp.tptp_minus_1) (tptp.gt tptp.n4 tptp.tptp_minus_2) (tptp.gt tptp.n5 tptp.tptp_minus_2) (tptp.gt tptp.tptp_minus_1 tptp.tptp_minus_2) (tptp.gt tptp.n135299 tptp.tptp_minus_2) (tptp.gt tptp.n0 tptp.tptp_minus_2) (tptp.gt tptp.n1 tptp.tptp_minus_2) (tptp.gt tptp.n2 tptp.tptp_minus_2) (tptp.gt tptp.n3 tptp.tptp_minus_2) (tptp.gt tptp.n4 tptp.n0) (tptp.gt tptp.n5 tptp.n0) (tptp.gt tptp.n135299 tptp.n0) _let_20 _let_19 _let_18 (tptp.gt tptp.n4 tptp.n1) (tptp.gt tptp.n5 tptp.n1) (tptp.gt tptp.n135299 tptp.n1) _let_17 _let_16 (tptp.gt tptp.n4 tptp.n2) (tptp.gt tptp.n5 tptp.n2) (tptp.gt tptp.n135299 tptp.n2) _let_15 _let_14 (tptp.gt tptp.n5 tptp.n3) (tptp.gt tptp.n135299 tptp.n3) _let_13 (forall ((X $$unsorted)) (=> (and (tptp.leq tptp.n0 X) (tptp.leq X tptp.n5)) (or (= X tptp.n0) (= X tptp.n1) (= X tptp.n2) (= X tptp.n3) (= X tptp.n4) (= X tptp.n5)))) _let_12 _let_11 _let_10 _let_9 _let_8 (= (tptp.succ _let_7) tptp.n5) _let_6 _let_5 _let_4 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.67 )
% 0.21/0.67 % SZS output end Proof for SWV157+1
% 0.21/0.67 % cvc5---1.0.5 exiting
% 0.21/0.68 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------